Complex Numbers In Geometry
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Author |
: Liang-shin Hahn |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 204 |
Release |
: 2019-12-26 |
ISBN-10 |
: 9781470451820 |
ISBN-13 |
: 1470451824 |
Rating |
: 4/5 (20 Downloads) |
Synopsis Complex Numbers and Geometry by : Liang-shin Hahn
The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained—no background in complex numbers is assumed—and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.
Author |
: Hans Schwerdtfeger |
Publisher |
: Courier Corporation |
Total Pages |
: 228 |
Release |
: 2012-05-23 |
ISBN-10 |
: 9780486135861 |
ISBN-13 |
: 0486135861 |
Rating |
: 4/5 (61 Downloads) |
Synopsis Geometry of Complex Numbers by : Hans Schwerdtfeger
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Author |
: I. M. Yaglom |
Publisher |
: Academic Press |
Total Pages |
: 256 |
Release |
: 2014-05-12 |
ISBN-10 |
: 9781483266633 |
ISBN-13 |
: 148326663X |
Rating |
: 4/5 (33 Downloads) |
Synopsis Complex Numbers in Geometry by : I. M. Yaglom
Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges. The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools.
Author |
: Donu Arapura |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 326 |
Release |
: 2012-02-15 |
ISBN-10 |
: 9781461418092 |
ISBN-13 |
: 1461418097 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Algebraic Geometry over the Complex Numbers by : Donu Arapura
This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.
Author |
: Titu Andreescu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 336 |
Release |
: 2007-10-08 |
ISBN-10 |
: 9780817644499 |
ISBN-13 |
: 0817644490 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Complex Numbers from A to ...Z by : Titu Andreescu
* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory
Author |
: Roland Deaux |
Publisher |
: Courier Corporation |
Total Pages |
: 211 |
Release |
: 2013-01-23 |
ISBN-10 |
: 9780486158044 |
ISBN-13 |
: 0486158047 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Introduction to the Geometry of Complex Numbers by : Roland Deaux
Geared toward readers unfamiliar with complex numbers, this text explains how to solve problems that frequently arise in the applied sciences and emphasizes constructions related to algebraic operations. 1956 edition.
Author |
: John Stillwell |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 348 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461206873 |
ISBN-13 |
: 1461206871 |
Rating |
: 4/5 (73 Downloads) |
Synopsis Numbers and Geometry by : John Stillwell
A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provides a broad view of these subjects at the level of calculus, without being a calculus book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He covers the main ideas of Euclid, but with 2000 years of extra insights attached. Presupposing only high school algebra, it can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics due to its attractive and unusual treatment of fundamental topics. A set of well-written exercises at the end of each section allows new ideas to be instantly tested and reinforced.
Author |
: John P. D'Angelo |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 177 |
Release |
: 2010 |
ISBN-10 |
: 9780821852743 |
ISBN-13 |
: 0821852744 |
Rating |
: 4/5 (43 Downloads) |
Synopsis An Introduction to Complex Analysis and Geometry by : John P. D'Angelo
Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.
Author |
: Daniel Huybrechts |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 336 |
Release |
: 2005 |
ISBN-10 |
: 3540212906 |
ISBN-13 |
: 9783540212904 |
Rating |
: 4/5 (06 Downloads) |
Synopsis Complex Geometry by : Daniel Huybrechts
Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)
Author |
: Jay Abramson |
Publisher |
: |
Total Pages |
: 892 |
Release |
: 2018-01-07 |
ISBN-10 |
: 9888407430 |
ISBN-13 |
: 9789888407439 |
Rating |
: 4/5 (30 Downloads) |
Synopsis College Algebra by : Jay Abramson
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory